International Journal of Computational Intelligence Systems

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Volume 13, Issue 1, 2020, Pages 1619 - 1635

Information Structures in an Ordered Information System Under Granular Computing View and Their Optimal Selection Based on Uncertainty Measures

Authors
Yini Wang1, 2, Sichun Wang1, *, Hongxiang Tang1
1Guangxi Key Laboratory of Cross-Border E-commerce Intelligent Information Processing, Guangxi University of Finance and Economics, Guangxi 530003, P.R. China
2Panyapiwat Institute of Management, Bangkok 10310, Thailand
*Corresponding author. Email: sichunwang123@126.com
Corresponding Author
Sichun Wang
Received 29 August 2019, Accepted 21 September 2020, Available Online 21 October 2020.
DOI
10.2991/ijcis.d.201007.001How to use a DOI?
Keywords
Ordered information system; Information granule; Information structure; Dependence; Information distance; Inclusion degree; Lattice; Map
Abstract

Information structures (i-structures) in an ordered information system (OIS) are mathematical structures of the information granules (i-granules) granulated from the data set of this OIS. This article investigates i-structures in an OIS with granular computing (GrC) view, i.e., i-structures in an OIS are seen as granular structures. Dependence and independence between i-structures are first depicted in the same OIS. Then, information distance (i-distance) between i-structures in the same OIS are proposed, and information entropy in an OIS can be expressed by i-distance between i-structures in this OIS is proved. Next, properties of i-structures in an OIS are shown. Moreover, group, lattice and map characters of i-structures in an OIS are received, and some invariant characters of i-structures in an OIS under homomorphisms are obtained. Finally, the optimal selection of i-structures in an OIS based on the proposed measures are studied. These results will contribute to build a framework of GrC in an OIS.

Copyright
© 2020 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
13 - 1
Pages
1619 - 1635
Publication Date
2020/10/21
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.201007.001How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Yini Wang
AU  - Sichun Wang
AU  - Hongxiang Tang
PY  - 2020
DA  - 2020/10/21
TI  - Information Structures in an Ordered Information System Under Granular Computing View and Their Optimal Selection Based on Uncertainty Measures
JO  - International Journal of Computational Intelligence Systems
SP  - 1619
EP  - 1635
VL  - 13
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.201007.001
DO  - 10.2991/ijcis.d.201007.001
ID  - Wang2020
ER  -